GraphsKey Facts

Key Rules to Remember

Part of Real-Life GraphsGCSE Mathematics

This key facts covers Key Rules to Remember within Real-Life Graphs for GCSE Mathematics. Revise Real-Life Graphs in Graphs for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 7 of 9 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 7 of 9

Practice

14 questions

Recall

12 flashcards

Key Rules to Remember

  • Gradient = rate of change (always read units from axes)
  • Horizontal line = no change in y (e.g. stopped, constant temperature, not spending)
  • Steeper line = faster rate (larger gradient)
  • Straight line = constant rate (uniform speed, fixed price per unit)
  • Curved line = changing rate (accelerating/decelerating, or container changing width)
  • y-intercept = starting value (e.g. fixed charge, initial temperature, initial distance)
  • Origin (0, 0): graph starts at zero (e.g. conversion graph with no fixed charge)

Keep building this topic

Read this section alongside the surrounding pages in Real-Life Graphs. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Real-Life Graphs

On a distance-time graph, what does a horizontal (flat) section represent?

  • A. The object is moving at constant speed
  • B. The object is accelerating
  • C. The object is stationary
  • D. The object is returning to the start
1 markfoundation

A distance-time graph shows a section with a negative gradient. Explain what a negative gradient means in the context of a distance-time graph.

2 marksstandard

Quick Recall Flashcards

Formula for speed from a distance-time graph?
Speed = gradient = (change in distance) / (change in time) Speed = (y2 - y1) / (x2 - x1) Units: always check axes — e.g. km/h, m/s, miles/minute
How do you use a conversion graph to convert a value?
1. Find your value on the known axis 2. Draw a line straight up (or across) to the graph 3. Draw a line across (or down) to the other axis 4. Read off the converted value Always use a ruler for accuracy.

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